| Title:
|
On a superconvergent finite element scheme for elliptic systems. I. Dirichlet boundary condition (English) |
| Author:
|
Hlaváček, Ivan |
| Author:
|
Křížek, Michal |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1987 |
| Pages:
|
131-154 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Second order elliptic systems with Dirichlet boundary conditions are solved by means of affine finite elements on regular uniform triangulations. A simple averagign scheme is proposed, which implies a superconvergence of the gradient. For domains with enough smooth boundary, a global estimate $O(h^{3/2})$ is proved in the $L^2$-norm. For a class of polygonal domains the global estimate $O(h^2)$ can be proven. (English) |
| Keyword:
|
post-processing |
| Keyword:
|
averaged gradient |
| Keyword:
|
Galerkin method |
| Keyword:
|
system |
| Keyword:
|
finite elements |
| Keyword:
|
superconvergence |
| Keyword:
|
global estimate |
| Keyword:
|
elliptic systems |
| MSC:
|
35J25 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| MSC:
|
73C99 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 0622.65097 |
| idMR:
|
MR0885758 |
| DOI:
|
10.21136/AM.1987.104242 |
| . |
| Date available:
|
2008-05-20T18:31:54Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104242 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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